Question

what is the slope of this line? (0, 20) (20, -30)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the points

We have two points: \((x_1, y_1)=(0, 20)\) and \((x_2, y_2)=(20, - 30)\).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-30 - 20}{20 - 0} \).

Step4: Simplify the expression

First, calculate the numerator: \(-30-20=-50\). Then the denominator: \(20 - 0 = 20\). So \( m=\frac{-50}{20}=-\frac{5}{2}=-2.5 \).

Answer:

\(-\frac{5}{2}\) (or \(-2.5\))